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svetoff [14.1K]
3 years ago
9

1. An object has a mass of 10g and a volume of 50mL. What is the density?

Physics
1 answer:
Alona [7]3 years ago
7 0

1. 0.2 g/mL

The relationship between mass, density and volume of an object is

d=\frac{m}{V}

where

d is the density

m is the mass

V is the volume

For the object in this problem, we have

m = 10 g

V = 50 mL

Substituting into the equation,

d=\frac{10}{50}=0.2 g/mL

2. 10 mL

In this exercise we know:

- The density of the object: d = 2 g/mL

- The mass of the object: m = 20 g

Therefore, we can re-arrange the previous equation to find the volume:

V=\frac{m}{d}

And substituting values into the equation, we find

V=\frac{20}{2}=10 mL

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Answer:

Part a)

A = 0.066 m

Part b)

maximum speed = 0.58 m/s

Explanation:

As we know that angular frequency of spring block system is given as

\omega = \sqrt{\frac{k}{m}}

here we know

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now we have

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\omega = 8.78 rad/s

Part a)

Speed of SHM at distance x = 0.020 m from its equilibrium position is given as

v = \omega \sqrt{A^2 - x^2}

0.55 = 8.78 \sqrt{A^2 - 0.020^2}

A = 0.066 m

Part b)

Maximum speed of SHM at its mean position is given as

v_{max} = A\omega

v_{max} = 0.066(8.78) = 0.58 m/s

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3 years ago
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A toroidal solenoid with mean radius r and cross-sectional area A is wound uniformly with N1 turns. A second toroidal solenoid w
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Answer:

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Explanation:

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Mutual inductance is given by :

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(b) It is given that,

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Area of toroid, A=0.76\ cm^2=7.6\times 10^{-5}\ m^2

Mutual inductance, M=\dfrac{4\pi \times 10^{-7}\times 550\times 290\times 7.6\times 10^{-5}}{2\pi \times 0.106}

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or

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Answer:

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